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[00889] Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems

  • Session Time & Room : 2E (Aug.22, 17:40-19:20) @E505
  • Type : Contributed Talk
  • Abstract : Relaxation Runge-Kutta methods, which are a slight modification of the RK methods, have been introduced to preserve invariants of initial-value problems. So far, this approach has been applied to preserve only one nonlinear functional in the numerical solution of a problem. In this talk, I will present the generalization of the relaxation approach for RK methods to preserve multiple nonlinear invariants of a dynamical system. The significance of preserving multiple invariants and its impact on long-term error growth will be illustrated via several numerical examples.
  • Classification : 65L04, 65L20, 65M06, 65M12, 65M22
  • Format : Talk at Waseda University
  • Author(s) :
    • Abhijit Biswas (King Abdullah University of Science and Technology (KAUST))
    • David Isaac Ketcheson (King Abdullah University of Science and Technology (KAUST))